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storchak [24]
3 years ago
13

How to factor y^3 +2y^2 + 2y + 1

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

       <u>    0        -1            -1         -1        </u>

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

 

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Suppose you want to throw a party. you have $214 to spend. so far you have purchased 5 decorations that each cost d dollars. whi
Harrizon [31]

Answer: 214 - 5d

Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.

Answers:

1) You buy 2 equally priced party favors, spending from your $7.65 gift card.

4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.

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Answer: 12/g

(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020

4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.

5th: m + 2m - s

6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.

7th: n - (1/4)n - 15

8th: 12n/r

9th: (x+3)/5

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What are the solutions to log (x² + 8) = 1 +logo(x)?
kherson [118]

Answer:

x = 9.125 and 0.875

Step-by-step explanation:

Given the expression

log (x² + 8) = 1 +log(x)?

This can also be written as;

log (x² + 8) = log 10 +logo(x)

log (x² + 8) =  log(10x)

(x² + 8) =  (10x)

x² -10x + 8 = 0

Factorize;

x = 10±√(-10)²-4(8)/2

x = 10±√100-32/2

x = 10±√68/2

x = 10±8.25/2

x = 10+8.25/2 and 10-8.25/2

x = 18.25/2 and 1.75/2

x = 9.125 and 0.875

4 0
3 years ago
A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no m
Eduardwww [97]

Answer:

6 games.

Step-by-step explanation:

Given that,

Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00

Another store has no membership fee, but that store charges $2.00 to rent a game.

Let there be n games needed to be rented each month for the total fees to be the same from either store.

Cost of first store = $7.50+$1.00n

Cost of another store = $2.00

If cost equals,

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Hence, 6 games needed to be rented each month.

6 0
3 years ago
A rectangle and an equilateral triangle have the same perimeter
PtichkaEL [24]

Answer:

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

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4 0
2 years ago
Which number can be used as a common denominator for the fractions 1/4 and 5/6? Check all that apply.
Juli2301 [7.4K]
You could either use 12 or 24.
6 0
3 years ago
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